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UNDERSTANDING a-Si pin CELLS 533<br />

neglect other aspects of power loss in the cell, which apply when field collapse may be<br />

neglected [127, 128], in particular for lower intensities.<br />

12.4.3 Absorber Layer Design of a pin Solar Cell<br />

In this section we address the issues that determine the absorber (or “intrinsic”) layer<br />

thickness. Figure 12.17 illustrates a computer calculation showing how the output power<br />

of an a-Si-based pin cell varies with intrinsic layer thickness. The differing curves represent<br />

results for monochromatic illumination using varying photon energies with the<br />

specified absorption coefficients. All the curves were calculated for the same photon flux.<br />

Such illumination conditions might be achieved experimentally using a laser whose photon<br />

energy could be tuned from 1.8 to 2.3 eV; sunlight, of course, presents a much more<br />

complex situation, as we discuss in Section 12.4.6.<br />

We first discuss results for illumination through the p-layer (solid symbols in the<br />

figure). For intrinsic layers that are sufficiently thin, the power is proportional to the<br />

number of photons absorbed (i.e. to the product of the thickness d and the absorption<br />

coefficient α). In this limit the fill factors have nearly ideal values around 0.8.<br />

As the thickness of the cell increases, the power saturates. First consider the<br />

behavior for strongly absorbed illumination (α = 100 000/cm – corresponding to a photon<br />

energy of about 2.3 eV in Figure 12.2). Power saturation occurs for thickness greater than<br />

100 nm, which is the typical distance at which the photons are absorbed. Since thicker<br />

cells do not absorb much additional light, the power stops increasing past this length.<br />

20 100 000/cm<br />

15<br />

Power<br />

[mW/cm 2 ]<br />

10<br />

5<br />

0<br />

50 000/cm<br />

20 000/cm<br />

10 000/cm<br />

5000/cm<br />

0 100 200 300 400 500<br />

Intrinsic layer thickness<br />

[nm]<br />

Figure 12.17 Computer calculation of the power output from a pin solar cell as a function of<br />

intrinsic layer thickness. The differing curves indicate results for monochromatic illumination with<br />

absorption coefficients from 5000/cm to 100 000/cm; for typical a-Si:H, this range corresponds to<br />

a photon energy range from 1.8 to 2.5 eV (cf. Figure 12.2). Solid symbols indicate illumination<br />

through the p-layer and open symbols indicate illumination through the n-layer. Incident photon<br />

flux 2 × 10 17 /cm 2 s; no back reflector

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